Posmer Molecule's Broken Symmetry Challenges Quantum Coherence Claims — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) proposed as biological quantum information processor, but dynamical ensemble symmetry is broken, contradicting earlier assumptions of long-lived nuclear spin coherence. MATH: - Molecular formula: Ca₉(PO₄)₆ → 9 calcium ions, 6 phosphate groups. - Nuclear spin states: \( ³¹P \) (spin-1/2) and \( ⁴³Ca \) (spin-7/2) are candidate qubits. - Key result from arXiv:2108.08822v2: The dynamical ensemble of the molecule is *not symmetric* under the full permutation group of the phosphate groups. This breaks the assumed \( S_6 \) symmetry, reducing coherence lifetimes. - No specific equations or constants (e.g., decoherence rates, coupling strengths) are provided in the abstract; the finding is structural/symmetry-based. CONNECTION: - The broken symmetry directly relates to crystallographic point groups and root systems. The \( S_6 \) (order 720) symmetry of six phosphate groups is reduced to a lower subgroup, likely \( C_2 \) or \( D_3 \), wh Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com